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1、附录StudyontheProprietyofRayleigh’sDampinginNonlinearDynamicAnalysisofBridgesSummaryInthispaper,basedontheresultsofcomparisonofnonlineardynamicanalysisof5spanbridgesconstructedontheI、Ⅱ、Ⅲregionsbythetwomethod(e.g.strain-energyproportionaldampingmethod&Rayleigh’sdampin
2、gmethod),parametricstudyweremadetothemaximumbendingcurvatureofthepiers.Astheresults,itisfoundthattheRayleigh’sdampingmethodbringsacomparativelysmallapproachtothebendingcurvatureinmanycasescomparingwiththestrain-energyproportionaldampingmethod,andthebendingcurvature
3、variousinacomparativelylargerareas.Andalso,comparativelycomputationsweremadetoacomplexbridgestructures,e.g.14spanbridgeanda3spancurvedbridge.SuggestionwasmadeonthepracticaluseoftheRayleigh’sproportionaldampingmethod.Keyword:nonlinear,dynamicanalysis,thestrain-energ
4、yproportionaldampingRayleigh’sdamping,bridges,themaximumbendingcurvature1.IntroductionAfterthenewaseismiccodeofbridgedesignpublishedintwoyearsagoinJapan,theRayleigh’sdampingmethodareoftenusedinnon-lineardynamicanalysisofbridgessincetheassumptionofdampingmatrixC=αK+
5、βM,thetimeofcalculatingisshorterthanothermethod.Butthroughthecomputationtothemanyengineeringproblem,itshowsthattheresultsbyRayleigh’sdampingmethodarevariouswiththedefinitionoftheparameter.Andalso,itisfoundthatthediscontinuesofbendingmomentweretakenplaceinsomepracti
6、calanalysis.Inthispaper,basedontheresultscomparisonofnonlineardynamicanalysisof5spanbridgesconstructedontheI、Ⅱ、Ⅲregionsbystrain-energyproportionaldampingmethod&Rayleigh’sdampingmethod,parametricstudyweremadetothemaximumbendingcurvatureofthepiers.Andalso,comparative
7、lycomputationsweremadetoacomplexbridgestructures,e.g.14spanbridgeanda3spancurvedbridge.2.TheStudytotheCommonTypeofBridges2.1AnalysisModelThe3bridgestobeanalyzedwereselectedaccordingtotheconditionsoffoundationsituatedinthedifferentregions.Bothofthemwere5spancontinue
8、sbridgeswiththerubberbearing.ThebasicconditionsofthebridgeswereshowedinFig.1.ThestandardearthquakewavefrombridgecodeofJapanwereinputatthebaseofpi